A partical is moving in a straight line under constant acceletation. If the motion starts from rest, Find the ratio of displacement in `n` second to that in the `n^(th)` second.

Options

A. `(2n-1)/n^(2)`
B. `1/n`
C. `n^(2)/(n-1)`
D. `n^(2)/(2n-1)`

Answer

D

Explanation

`s_(n)=1/2 a n^(2)`
`s_(nth)=1/2 a(2n-1)`
`s_(n)/s_(nth)=n^(2)/((2n-1))`